Directional derivative of the value function for parametric set-constrained optimization problems
type: Item
instance of: scholarly article
title: Directional derivative of the value function for parametric set-constrained optimization problems
author: Kuang Bai
author: Jane J. Ye
published in: Journal of Optimization Theory and Applications
publication date: 2024-11-27T00:00:00Z
Mathematics Subject Classification ID: 90C26
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 7950116
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: directional derivative
zbMATH Keywords: value function
zbMATH Keywords: nonconvex parametric set-constrained program
MaRDI profile type: Publication
cites work: Directional Quasi-/Pseudo-Normality as Sufficient Conditions for Metric Subregularity
cites work: Directional Necessary Optimality Conditions for Bilevel Programs
cites work: Calculus for directional limiting normal cones and subdifferentials
cites work: Q4503250
cites work: Q3996569
cites work: Q5534710
cites work: Differential properties of the marginal function in mathematical programming
cites work: On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs
cites work: Optimality Conditions for Disjunctive Programs Based on Generalized Differentiation with Application to Mathematical Programs with Equilibrium Constraints
cites work: Lipschitz and Hölder stability of optimization problems and generalized equations
cites work: Robinson Stability of Parametric Constraint Systems via Variational Analysis
cites work: Second-Order Optimality Conditions for Nonconvex Set-Constrained Optimization Problems
cites work: On directionally dependent subdifferentials
cites work: Sensitivity Analysis of the Value Function for Parametric Mathematical Programs with Equilibrium Constraints
cites work: Sensitivity Analysis of the Maximal Value Function with Applications in Nonconvex Minimax Programs
cites work: Directional derivative of the marginal function in nonlinear programming
cites work: Q4036809
cites work: Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
cites work: Some continuity properties of polyhedral multifunctions
cites work: Convex Analysis
cites work: Variational Analysis
cites work: A Lipschitzian Characterization of Convex Polyhedra
DOI: 10.1007/S10957-024-02469-4
description: scientific article; zbMATH DE number 7950116